A Riemann-Roch formula for singular reductions by circle actions

Benjamin Delarue, Louis Ioos, Pablo Ramacher

We compute a Hirzebruch-Riemann-Roch type formula for the invariant Riemann-Roch number of a quantizable Hamiltonian $S^1$-manifold $(M,ω,\J)$, allowing $0$ to be a singular value…